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Consider f,g and h be three real valued differentiable functions defined on R. Let `g(x)=x^(3)+g''(1)x^(3)+(3g'(1)-g''(1)-1)x+3g'(1)`
`f(x)=xg(x)-12x+1`
and`f(x)=(h(x))^(2),` where `g(0)=1`
The function y=f(x) has

A

(a)Exactly one local minima and no local maxima

B

(b)Exactly one local maxima and no local minima

C

(c)Exactly one local maxima and two local minima

D

(d)Exactly two local maxima and no local minima

Text Solution

Verified by Experts

The correct Answer is:
C
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